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Finding the Third Proportional to 306,558.94 and 478,461.66

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Solution

The third proportional to 306,558.94 and 478,461.66 is: 746,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,558.94 : 478,461.66 = 478,461.66 : x
  2. Step 2: Convert to fraction form
    306,558.94/478,461.66 = 478,461.66/x
  3. Step 3: Cross multiply
    306,558.94x = 478,461.66 × 478,461.66
  4. Step 4: Simplify right side
    306,558.94x = 228,925,556,501.49
  5. Step 5: Solve for x
    x = 228,925,556,501.49/306,558.94
  6. Step 6: Final answer
    x = 746,758.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.